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166404033 = 3219251217
BaseRepresentation
bin10011110101100…
…01111111000001
3102121010012102100
421322301333001
5320044412113
624302341013
74060260645
oct1172617701
9377105370
10166404033
1185a268a4
124788a769
1328623633
1418158c25
15e91ed73
hex9eb1fc1

166404033 has 18 divisors (see below), whose sum is σ = 253682754. Its totient is φ = 105095232.

The previous prime is 166404031. The next prime is 166404037. The reversal of 166404033 is 330404661.

166404033 is a `hidden beast` number, since 16 + 640 + 4 + 0 + 3 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 131262849 + 35141184 = 11457^2 + 5928^2 .

It is not a de Polignac number, because 166404033 - 21 = 166404031 is a prime.

It is a super-3 number, since 3×1664040333 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 166403988 and 166404006.

It is not an unprimeable number, because it can be changed into a prime (166404031) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22360 + ... + 28857.

Almost surely, 2166404033 is an apocalyptic number.

It is an amenable number.

166404033 is a deficient number, since it is larger than the sum of its proper divisors (87278721).

166404033 is a wasteful number, since it uses less digits than its factorization.

166404033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51261 (or 51239 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 166404033 is about 12899.7687188569. The cubic root of 166404033 is about 550.0319904258.

Adding to 166404033 its reverse (330404661), we get a palindrome (496808694).

The spelling of 166404033 in words is "one hundred sixty-six million, four hundred four thousand, thirty-three".

Divisors: 1 3 9 19 57 171 361 1083 3249 51217 153651 460953 973123 2919369 8758107 18489337 55468011 166404033